Hi Gary,
When the batteries are new and have full capacity, they allow you to run on them for a long time. How long depends on what is running in the coach obviously. But as the batteries age, they do not just stop working instantly, rather they just have less and less capacity. Lifeline says they are good for about 500 charge/discharge cycles if I remember right.
I had my bus 5 years before I decided to replace the batteries and they were a year or two old when I got the bus. They were great all up until the last 6 months or so. Then time of usefulness was reduced by a factor of 3 or 4.
Put in the new ones and we are back to long runs between charges.
We can typically "dry camp" for 2 days on the batteries alone, assuming the outside temps are not extreme. This means running the fridge all the time, lights and TV in the evening, and misc stuff all during the days, and in our case usually the Webasto heater in the evenings and nights.
When the batteries needed replacing, we would have to fire up the generator after 10 hours or so. Our biggest indicator was to park overnight after driving in the afternoon. Run on batteries all evening and night, then wake up and there would not be enough energy in the batteries for the inverters to run the coffeepot. Now we can do that 2 days in a row without charging, no problem.
We have 6 4D batteries on the house side.
I have never run the equalize cycle. I think that is only for wet cells, but could be wrong.